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Finding the Third Proportional to 216,786 and 329,361

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Solution

The third proportional to 216,786 and 329,361 is: 500,395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,786 : 329,361 = 329,361 : x
  2. Step 2: Convert to fraction form
    216,786/329,361 = 329,361/x
  3. Step 3: Cross multiply
    216,786x = 329,361 × 329,361
  4. Step 4: Simplify right side
    216,786x = 108,478,668,321
  5. Step 5: Solve for x
    x = 108,478,668,321/216,786
  6. Step 6: Final answer
    x = 500,395.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.